Competitive interaction model of enterprises based on ecological theory

摘要

According to recent literatures about competitive models of enterprises based on ecological theory, an interactive competition difference system model of enterprises is put forward based the modeling thought that environment change and delay may affect the output level. And then using the properties of Logistic differential systems Mawhin continuity theorem, a sufficient condition of enterprise co-existence and periodic dynamic equilibrium of enterprises output is discussed. At last, the validity of the main conclusions is verified by numerical simulation of concrete example. The results show the interaction coefficient, intrinsic growth rate, self-inhibition rate, competitive inhibition rate and delays have a major impact t on the dynamic behavior, and the enterprises with different size and strength may coexist under certain conditions, which helps to expand the existing results.